Answer :
To solve this problem, we need to determine the maximum number of boxes, each weighing 145 pounds, that can fit in an elevator with a maximum capacity of 1600 pounds. Let's assume that only you and the boxes are in the elevator, and for this problem, we can ignore your weight.
Let's define:
- [tex]\( n \)[/tex] as the number of boxes.
The weight of the boxes in the elevator can be expressed as:
[tex]\[ 145 \times n \][/tex]
The total weight of the boxes must be less than or equal to the maximum capacity of the elevator, which is 1600 pounds. Therefore, the inequality is:
[tex]\[ 145 \times n \leq 1600 \][/tex]
Now let's check the answer choices to see which one matches this inequality:
- Choice a: [tex]\( 1600 - 145 \leq 40n \)[/tex]
- Choice b: [tex]\( 145 + 40n \geq 1600 \)[/tex]
- Choice c: [tex]\( 145 + 40n \leq 1600 \)[/tex]
- Choice d: [tex]\( 1600 + 145 \geq 40n \)[/tex]
The correct matching inequality from the list that resembles our derived inequality [tex]\( 145n \leq 1600 \)[/tex] is choice c: [tex]\( 145 + 40n \leq 1600 \)[/tex].
Let's define:
- [tex]\( n \)[/tex] as the number of boxes.
The weight of the boxes in the elevator can be expressed as:
[tex]\[ 145 \times n \][/tex]
The total weight of the boxes must be less than or equal to the maximum capacity of the elevator, which is 1600 pounds. Therefore, the inequality is:
[tex]\[ 145 \times n \leq 1600 \][/tex]
Now let's check the answer choices to see which one matches this inequality:
- Choice a: [tex]\( 1600 - 145 \leq 40n \)[/tex]
- Choice b: [tex]\( 145 + 40n \geq 1600 \)[/tex]
- Choice c: [tex]\( 145 + 40n \leq 1600 \)[/tex]
- Choice d: [tex]\( 1600 + 145 \geq 40n \)[/tex]
The correct matching inequality from the list that resembles our derived inequality [tex]\( 145n \leq 1600 \)[/tex] is choice c: [tex]\( 145 + 40n \leq 1600 \)[/tex].
